Question

. Find the diameter of a circle with an area
of 415.48 square inches.

Answer 1

The diameter if the given circle is 23 inches.

Explanation:

Here, given : The area of the circle = 415.48 square inches.

Let us assume the radius of the circle - R inches

Now, AREA OF THE CIRCLE =
`\pi (R)^2`

`\implies 415.48 = \pi (R)^2\\\implies (R)^2 = (415.48)/(3.14)  = 132.19 \\\implies (R)^2 = 132.19 \\\implies R = 11.49`

or, Radius of the circle = 11.49 inches

Now, DIAMETER = 2 x RADIUS

⇒ D = 2 x ( 11.49) ≈ 23 inches

Hence, the diameter if the given circle is 23 inches.